👤

help me guys please don't answer nalang po if hindi niyo po alam thankyou:)​

Help Me Guys Please Dont Answer Nalang Po If Hindi Niyo Po Alam Thankyou class=

Sagot :

Answer:

[tex]1. \: m = kn[/tex]

[tex]2. \: k = 6[/tex]

[tex]3. \: m = 6n[/tex]

Step-by-step explanation:

"m varies directly as n"

[tex]m = kn[/tex]

where k-constant.

if m = 30 and n = 5,

[tex]30 = k(5) \\ k = \frac{30}{5} \\ k = 6 [/tex]

Therefore, the equation of variation is

[tex]m = 6k[/tex]

DIRECT VARIATION

==============================

A. Express the Statement:

[tex] \large \implies \sf \huge \orange{m = kn}[/tex]

[tex] \: [/tex]

B. Solve for k (constant of the variation)

[tex] \large \tt \red{given} \begin{cases} \sf \: m =30 \\ \sf \: n = 5 \end{cases}[/tex]

[tex] \large \implies \sf \LARGE 30 = k(5)[/tex]

[tex] \large \implies \sf \LARGE \frac{30}{5} = \frac{k( \cancel5)}{ \cancel5} \\ [/tex]

[tex] \large \implies \sf \LARGE \therefore \orange{ \: k = 6}[/tex]

[tex] \: [/tex]

C. Form the equation of the variation.

[tex]\large \implies \sf \huge \orange{m = 6n}[/tex]

==============================

#CarryOnLearning

(ノ^_^)ノ